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One way of classification of compound prepositions on the basis of their truth values as per Kenneth H Rosen is 

  1. Tautology
  2. Contradiction
  3. Contingency 

Then in which classification validity and  satisfiability are used?

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Valid means if the statement is true for all combinations.

We use satisfiable if we have may statements like "A" AND "B" AND "C"

Now,

"A" AND "B" AND "C" =true   if A, B and C is true .Here we have atleast 1 combination that is true

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